Example related to Factorials

Question: Simplify [4 (45!) + 46!] / [150 (44!)]

Question: Prove [15! / (5! x 10!)] + [15! / (4! x 11!)] = 16! / (5! x 11!)

Question: Find 'n' if (16 - n)! / (14 - n)! = 12

Question: Find the LCM of 6!, 7! and 8!

Question: Prove 1/9! + 1/10! + 1/11! = 122/11!

Question: Simplify (10! - 9!) / 8!

Question: If 1/4! + 1/5! = x/6!, find x?

Question: Find x if x/10! = 1/8! + 1/9!

Question: If (n + 2)! = 2550 (n!), find n?

Question: Prove that n!(n + 2) = n! + (n + 1)!

Question: Find the value of n if [2n! / 3! (2n - 3)!] : [n! / 2!(n - 2)!] = 44 : 3